On the evolution of quaternionic curves
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Abstract (EN)
This thesis consists of four chapters. In the fırst chapter introduction part has been presented. In the second chapter, basic concept in the n- dimesional Euclidean space and quaternion set are introduced. Moreover, defination of quaternionic curve and Frenet formula of quaternionic curve are given. In the third chapter, inextensibe flow of cırve in n-dimensional Euclidean space is examined. Evolution equation of Frenet frame and curvature are obtained. Then integrability condition is given. The fourth chapter is the original parts of this study. In this chapter, inextensibe flow of quaternionic curve is examined. Evolution equation of Frenet frame and curvatures are obtained. Then, by using inextensible flow of quaternionic curve, integrability condition is given. Finally, examples are given about evolution of curvatures. Key Words: Quaternion; Quaternionic Curve; Inextensible Curve Flow; Evolution.
Author
Özlem İçer
How to Cite
Özlem İçer (Master Thesis). On the evolution of quaternionic curves, 2019, Bilecik Şeyh Edebali Üniversity.
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